258269620 has 96 divisors (see below), whose sum is σ = 646265088. Its totient is φ = 84851712.

The previous prime is 258269617. The next prime is 258269633. The reversal of 258269620 is 26962852.

It is a super-2 number, since 2×258269620² = 133406393229888800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377799 + ... + 378481.

It is an arithmetic number, because the mean of its divisors is an integer number (6731928).

Almost surely, 2^258269620 is an apocalyptic number.

258269620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258269620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323132544).

258269620 is an abundant number, since it is smaller than the sum of its proper divisors (387995468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258269620 is a wasteful number, since it uses less digits than its factorization.

258269620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 258269620 is about 16070.7691166291. The cubic root of 258269620 is about 636.8313594325.

The spelling of 258269620 in words is "two hundred fifty-eight million, two hundred sixty-nine thousand, six hundred twenty".